Entropy function approach to the Lattice Boltzmann method

被引：86

作者：

Ansumali, S ^{[1
]}

Karlin, HV ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, ETH Zentrum, Dept Mat, Inst Polymers, CH-8092 Zurich, Switzerland

来源：

JOURNAL OF STATISTICAL PHYSICS | 2002年 / 107卷 / 1-2期

关键词：

kinetic theory; H-theorem; Lattice Boltzmann method; stability;

D O I：

10.1023/A:1014575024265

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we present the construction of the Lattice Boltzmann method equipped with the H-theorem. Based on entropy functions whose local equilibria are suitable to recover the Navier-Stokes equations in the framework of the Lattice Boltzmann method, we derive a collision integral which enables simple identification of transport coefficients, and which circumvents construction of the equilibrium. We discuss performance of this approach as compared to the standard realizations.

引用

页码：291 / 308

页数：18

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